{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Using latexify in PyBaMM\n",
    "In this notebook we show how to use `latexify` to print all the model equations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we import pybamm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "ERROR: Invalid requirement: '#'\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "source": [
    "%pip install \"pybamm[plot,cite]\" -q    # install PyBaMM if it is not installed\n",
    "import pybamm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we load a model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = pybamm.lithium_ion.SPM()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we have defined a model we can use latexify to get the latex of all the model equations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/latex": [
       "$\\displaystyle \\large{\\underline{\\textbf{Single Particle Model Equations}}}\\\\\\\\\\\\ \\textbf{Discharge capacity [A.h]}\\\\\\\\\\frac{d}{d t} Q_{Ah} = \\frac{I}{3600}\\\\\\\\Q_{Ah} = 0.0\\quad \\text{at}\\; t=0\\\\\\\\\\\\ \\textbf{X-averaged negative particle concentration [mol.m-3]}\\\\\\\\\\frac{\\partial}{\\partial t} \\overline{c}_{\\mathrm{s,n}} = \\nabla\\cdot \\left(D_{\\mathrm{n}} \\left(\\nabla \\overline{c}_{\\mathrm{s,n}}\\right)\\right)\\quad 0 < r < R_{\\mathrm{n}}^{\\mathrm{typ}}\\\\\\\\\\overline{c}_{\\mathrm{s,n}} = \\int c_{\\mathrm{n}}^{\\mathrm{init}}\\, dxn\\quad \\text{at}\\; t=0\\\\\\\\\\nabla \\overline{c}_{\\mathrm{s,n}} = 0.0\\quad  \\text{at } r = 0\\\\\\\\\\nabla \\overline{c}_{\\mathrm{s,n}} = - \\frac{i_{\\mathrm{cell}}}{D_{\\mathrm{n}}^{surf} F L_{\\mathrm{n}} \\overline{a}_{\\mathrm{n}}}\\quad  \\text{at } r = R_{\\mathrm{n}}^{\\mathrm{typ}}\\\\\\\\\\\\ \\textbf{X-averaged positive particle concentration [mol.m-3]}\\\\\\\\\\frac{\\partial}{\\partial t} \\overline{c}_{\\mathrm{s,p}} = \\nabla\\cdot \\left(D_{\\mathrm{p}} \\left(\\nabla \\overline{c}_{\\mathrm{s,p}}\\right)\\right)\\quad 0 < r < R_{\\mathrm{p}}^{\\mathrm{typ}}\\\\\\\\\\overline{c}_{\\mathrm{s,p}} = \\int c_{\\mathrm{p}}^{\\mathrm{init}}\\, dxn\\quad \\text{at}\\; t=0\\\\\\\\\\nabla \\overline{c}_{\\mathrm{s,p}} = 0.0\\quad  \\text{at } r = 0\\\\\\\\\\nabla \\overline{c}_{\\mathrm{s,p}} = - \\frac{j_{\\mathrm{p}}}{D_{\\mathrm{p}}^{surf} F}\\quad  \\text{at } r = R_{\\mathrm{p}}^{\\mathrm{typ}}\\\\\\\\\\\\ \\textbf{Voltage [V]}\\\\\\\\V = - U_\\mathrm{n}(c^\\mathrm{surf}_\\mathrm{s,n}, T) + U_\\mathrm{p}(c^\\mathrm{surf}_\\mathrm{s,p}, T) + \\frac{2.0 R T_{\\mathrm{amb}} \\operatorname{asinh}{\\left(\\frac{0.5 j_{\\mathrm{p}}}{j_{\\mathrm{p}}^{\\mathrm{0}}} \\right)}}{F ne_{\\mathrm{p}}} - \\frac{2.0 R T_{\\mathrm{amb}} \\operatorname{asinh}{\\left(\\frac{0.5 i_{\\mathrm{cell}}}{L_{\\mathrm{n}} \\overline{a}_{\\mathrm{n}} j_{\\mathrm{n}}^{\\mathrm{0}}} \\right)}}{F ne_{\\mathrm{n}}}\\\\\\\\\\\\ \\textbf{Parameters and Variables}\\\\\\\\I = \\text{Current function [A]}\\\\\\\\\\overline{c}_{\\mathrm{s,n}} = \\text{X-averaged negative particle concentration [mol.m-3]}\\\\\\\\D_{\\mathrm{n}} = \\text{Negative particle diffusivity [m2.s-1]}\\\\\\\\T_{\\mathrm{amb}} = \\text{Ambient temperature [K]}\\\\\\\\c_{\\mathrm{n}}^{\\mathrm{max}} = \\text{Maximum concentration in negative electrode [mol.m-3]}\\\\\\\\\\overline{c}_{\\mathrm{s,p}} = \\text{X-averaged positive particle concentration [mol.m-3]}\\\\\\\\D_{\\mathrm{p}} = \\text{Positive particle diffusivity [m2.s-1]}\\\\\\\\c_{\\mathrm{p}}^{\\mathrm{max}} = \\text{Maximum concentration in positive electrode [mol.m-3]}$"
      ],
      "text/plain": [
       "\\large{\\underline{\\textbf{Single Particle Model Equations}}}\\\\\\\\\\\\ \\textbf{Dis\n",
       "charge capacity [A.h]}\\\\\\\\\\frac{d}{d t} Q_{Ah} = \\frac{I}{3600}\\\\\\\\Q_{Ah} = 0.\n",
       "0\\quad \\text{at}\\; t=0\\\\\\\\\\\\ \\textbf{X-averaged negative particle concentratio\n",
       "n [mol.m-3]}\\\\\\\\\\frac{\\partial}{\\partial t} \\overline{c}_{\\mathrm{s,n}} = \\nab\n",
       "la\\cdot \\left(D_{\\mathrm{n}} \\left(\\nabla \\overline{c}_{\\mathrm{s,n}}\\right)\\r\n",
       "ight)\\quad 0 < r < R_{\\mathrm{n}}_{\\mathrm{s,n}} = \\int c_{\\mathrm{n}}_{\\mathr\n",
       "m{s,n}} = 0.0\\quad  \\text{at } r = 0\\\\\\\\\\nabla \\overline{c}_{\\mathrm{s,n}} = -\n",
       " \\frac{i_{\\mathrm{cell}}}{D_{\\mathrm{n}}_{\\mathrm{n}} \\overline{a}_{\\mathrm{n}\n",
       "}}\\quad  \\text{at } r = R_{\\mathrm{n}}_{\\mathrm{s,p}} = \\nabla\\cdot \\left(D_{\\\n",
       "mathrm{p}} \\left(\\nabla \\overline{c}_{\\mathrm{s,p}}\\right)\\right)\\quad 0 < r <\n",
       " R_{\\mathrm{p}}_{\\mathrm{s,p}} = \\int c_{\\mathrm{p}}_{\\mathrm{s,p}} = 0.0\\quad\n",
       "  \\text{at } r = 0\\\\\\\\\\nabla \\overline{c}_{\\mathrm{s,p}} = - \\frac{j_{\\mathrm{\n",
       "p}}}{D_{\\mathrm{p}}_{\\mathrm{p}}_\\mathrm{n}(c_\\mathrm{s,n}, T) + U_\\mathrm{p}(\n",
       "c_\\mathrm{s,p}, T) + \\frac{2.0 R T_{\\mathrm{amb}} \\operatorname{asinh}{\\left(\\\n",
       "frac{0.5 j_{\\mathrm{p}}}{j_{\\mathrm{p}}_{\\mathrm{p}}} - \\frac{2.0 R T_{\\mathrm\n",
       "{amb}} \\operatorname{asinh}{\\left(\\frac{0.5 i_{\\mathrm{cell}}}{L_{\\mathrm{n}} \n",
       "\\overline{a}_{\\mathrm{n}} j_{\\mathrm{n}}_{\\mathrm{n}}}\\\\\\\\\\\\ \\textbf{Parameter\n",
       "s and Variables}\\\\\\\\I = \\text{Current function [A]}\\\\\\\\\\overline{c}_{\\mathrm{s\n",
       ",n}} = \\text{X-averaged negative particle concentration [mol.m-3]}\\\\\\\\D_{\\math\n",
       "rm{n}} = \\text{Negative particle diffusivity [m2.s-1]}\\\\\\\\T_{\\mathrm{amb}} = \n",
       "\\text{Ambient temperature [K]}\\\\\\\\c_{\\mathrm{n}}_{\\mathrm{s,p}} = \\text{X-aver\n",
       "aged positive particle concentration [mol.m-3]}\\\\\\\\D_{\\mathrm{p}} = \\text{Posi\n",
       "tive particle diffusivity [m2.s-1]}\\\\\\\\c_{\\mathrm{p}}__{\\mathrm{typ}}\\\\\\\\\\ove\n",
       "rline{c}__{\\mathrm{init}}\\, dxn\\quad \\text{at}\\; t=0\\\\\\\\\\nabla \\overline{c}__{\n",
       "surf} F L__{\\mathrm{typ}}\\\\\\\\\\\\ \\textbf{X-averaged positive particle concentra\n",
       "tion [mol.m-3]}\\\\\\\\\\frac{\\partial}{\\partial t} \\overline{c}__{\\mathrm{typ}}\\\\\\\n",
       "\\\\overline{c}__{\\mathrm{init}}\\, dxn\\quad \\text{at}\\; t=0\\\\\\\\\\nabla \\overline{\n",
       "c}__{surf} F}\\quad  \\text{at } r = R__{\\mathrm{typ}}\\\\\\\\\\\\ \\textbf{Voltage [V]\n",
       "}\\\\\\\\V = - U__\\mathrm{surf}__\\mathrm{surf}__{\\mathrm{0}}} \\right)}}{F ne__{\\ma\n",
       "thrm{0}}} \\right)}}{F ne__{\\mathrm{max}} = \\text{Maximum concentration in nega\n",
       "tive electrode [mol.m-3]}\\\\\\\\\\overline{c}__{\\mathrm{max}} = \\text{Maximum conc\n",
       "entration in positive electrode [mol.m-3]}"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.latexify()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also get a list of all the equations instead of a single line joined by newline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/latex": [
       "$\\displaystyle \\left[ \\large{\\underline{\\textbf{Single Particle Model Equations}}}, \\  \\\\ \\textbf{Discharge capacity [A.h]}, \\  \\frac{d}{d t} Q_{Ah} = \\frac{I}{3600}, \\  Q_{Ah} = 0.0\\quad \\text{at}\\; t=0, \\  \\\\ \\textbf{X-averaged negative particle concentration [mol.m-3]}, \\  \\frac{\\partial}{\\partial t} \\overline{c}_{\\mathrm{s,n}} = \\nabla\\cdot \\left(D_{\\mathrm{n}} \\left(\\nabla \\overline{c}_{\\mathrm{s,n}}\\right)\\right)\\quad 0 < r < R_{\\mathrm{n}}^{\\mathrm{typ}}, \\  \\overline{c}_{\\mathrm{s,n}} = \\int c_{\\mathrm{n}}^{\\mathrm{init}}\\, dxn\\quad \\text{at}\\; t=0, \\  \\nabla \\overline{c}_{\\mathrm{s,n}} = 0.0\\quad  \\text{at } r = 0, \\  \\nabla \\overline{c}_{\\mathrm{s,n}} = - \\frac{i_{\\mathrm{cell}}}{D_{\\mathrm{n}}^{surf} F L_{\\mathrm{n}} \\overline{a}_{\\mathrm{n}}}\\quad  \\text{at } r = R_{\\mathrm{n}}^{\\mathrm{typ}}, \\  \\\\ \\textbf{X-averaged positive particle concentration [mol.m-3]}, \\  \\frac{\\partial}{\\partial t} \\overline{c}_{\\mathrm{s,p}} = \\nabla\\cdot \\left(D_{\\mathrm{p}} \\left(\\nabla \\overline{c}_{\\mathrm{s,p}}\\right)\\right)\\quad 0 < r < R_{\\mathrm{p}}^{\\mathrm{typ}}, \\  \\overline{c}_{\\mathrm{s,p}} = \\int c_{\\mathrm{p}}^{\\mathrm{init}}\\, dxn\\quad \\text{at}\\; t=0, \\  \\nabla \\overline{c}_{\\mathrm{s,p}} = 0.0\\quad  \\text{at } r = 0, \\  \\nabla \\overline{c}_{\\mathrm{s,p}} = - \\frac{j_{\\mathrm{p}}}{D_{\\mathrm{p}}^{surf} F}\\quad  \\text{at } r = R_{\\mathrm{p}}^{\\mathrm{typ}}, \\  \\\\ \\textbf{Voltage [V]}, \\  V = - U_\\mathrm{n}(c^\\mathrm{surf}_\\mathrm{s,n}, T) + U_\\mathrm{p}(c^\\mathrm{surf}_\\mathrm{s,p}, T) + \\frac{2.0 R T_{\\mathrm{amb}} \\operatorname{asinh}{\\left(\\frac{0.5 j_{\\mathrm{p}}}{j_{\\mathrm{p}}^{\\mathrm{0}}} \\right)}}{F ne_{\\mathrm{p}}} - \\frac{2.0 R T_{\\mathrm{amb}} \\operatorname{asinh}{\\left(\\frac{0.5 i_{\\mathrm{cell}}}{L_{\\mathrm{n}} \\overline{a}_{\\mathrm{n}} j_{\\mathrm{n}}^{\\mathrm{0}}} \\right)}}{F ne_{\\mathrm{n}}}, \\  \\\\ \\textbf{Parameters and Variables}, \\  I = \\text{Current function [A]}, \\  \\overline{c}_{\\mathrm{s,n}} = \\text{X-averaged negative particle concentration [mol.m-3]}, \\  D_{\\mathrm{n}} = \\text{Negative particle diffusivity [m2.s-1]}, \\  T_{\\mathrm{amb}} = \\text{Ambient temperature [K]}, \\  c_{\\mathrm{n}}^{\\mathrm{max}} = \\text{Maximum concentration in negative electrode [mol.m-3]}, \\  \\overline{c}_{\\mathrm{s,p}} = \\text{X-averaged positive particle concentration [mol.m-3]}, \\  D_{\\mathrm{p}} = \\text{Positive particle diffusivity [m2.s-1]}, \\  c_{\\mathrm{p}}^{\\mathrm{max}} = \\text{Maximum concentration in positive electrode [mol.m-3]}\\right]$"
      ],
      "text/plain": [
       "⎡                                                                             \n",
       "⎢                                                                             \n",
       "⎢                                                                             \n",
       "⎢\\large{\\underline{\\textbf{Single Particle Model Equations}}}, \\\\ \\textbf{Disc\n",
       "⎣                                                                             \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                       d           I                                          \n",
       "harge capacity [A.h]}, ──(Q_Ah) = ────, Q_{Ah} = 0.0\\quad \\text{at}\\; t=0, \\\\ \n",
       "                       dt         3600                                        \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                    d           │I│                           \n",
       "\\textbf{Throughput capacity [A.h]}, ──(Qt_Ah) = ────, Qt_{Ah} = 0.0\\quad \\text\n",
       "                                    dt          3600                          \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "{at}\\; t=0, \\\\ \\textbf{X-averaged negative particle concentration [mol.m-3]}, \n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "d                                                                             \n",
       "──(\\overline{c}_{\\mathrm{s,n}}) = \\nabla\\cdot \\left(D_{\\mathrm{n}} \\left(\\nabl\n",
       "dt                                                                            \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "a \\overline{c}_{\\mathrm{s,n}}\\right)\\right)\\quad 0 < r < R_{\\mathrm{n}}__{\\mat\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "hrm{typ}}, \\overline{c}_{\\mathrm{s,n}} = \\int c_{\\mathrm{n}}__{\\mathrm{init}}\\\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       ", dxn\\quad \\text{at}\\; t=0, \\nabla \\overline{c}_{\\mathrm{s,n}} = 0.0\\quad  \\te\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "xt{at } r = 0, \\nabla \\overline{c}_{\\mathrm{s,n}} = - \\frac{i_{\\mathrm{cell}}}\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "{D_{\\mathrm{n}}_{\\mathrm{n}} \\overline{a}_{\\mathrm{n}}}\\quad  \\text{at } r = R\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "_{\\mathrm{n}}__{surf} F L__{\\mathrm{typ}}, \\\\ \\textbf{X-averaged positive part\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                               d                                              \n",
       "icle concentration [mol.m-3]}, ──(\\overline{c}_{\\mathrm{s,p}}) = \\nabla\\cdot \\\n",
       "                               dt                                             \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "left(D_{\\mathrm{p}} \\left(\\nabla \\overline{c}_{\\mathrm{s,p}}\\right)\\right)\\qua\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "d 0 < r < R_{\\mathrm{p}}__{\\mathrm{typ}}, \\overline{c}_{\\mathrm{s,p}} = \\int c\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "_{\\mathrm{p}}__{\\mathrm{init}}\\, dxn\\quad \\text{at}\\; t=0, \\nabla \\overline{c}\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "_{\\mathrm{s,p}} = 0.0\\quad  \\text{at } r = 0, \\nabla \\overline{c}_{\\mathrm{s,p\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "}} = \\frac{i_{\\mathrm{cell}}}{D_{\\mathrm{p}}_{\\mathrm{p}} \\overline{a}_{\\mathr\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "m{p}}}\\quad  \\text{at } r = R_{\\mathrm{p}}__{surf} F L__{\\mathrm{typ}}, \\\\ \\te\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "xtbf{Voltage [V]}, V = -U_\\mathrm{n}(c_\\mathrm{s,n}, T)__\\mathrm{surf} + U_\\ma\n",
       "                                                                              \n",
       "\n",
       "                                                                        ⎛     \n",
       "                                            2.0⋅R⋅T_{\\mathrm{amb}}⋅asinh⎜─────\n",
       "                                                                        ⎝L_{\\m\n",
       "thrm{p}(c_\\mathrm{s,p}, T)__\\mathrm{surf} - ──────────────────────────────────\n",
       "                                                                              \n",
       "\n",
       "                   0.5⋅i_{\\mathrm{cell}}                        ⎞             \n",
       "────────────────────────────────────────────────────────────────⎟   2.0⋅R⋅T_{\\\n",
       "athrm{n}}⋅\\overline{a}_{\\mathrm{n}}⋅j_{\\mathrm{n}}__{\\mathrm{0}}⎠             \n",
       "───────────────────────────────────────────────────────────────── - ──────────\n",
       "               F                                                              \n",
       "\n",
       "                  ⎛                        0.5⋅i_{\\mathrm{cell}}              \n",
       "mathrm{amb}}⋅asinh⎜───────────────────────────────────────────────────────────\n",
       "                  ⎝L_{\\mathrm{p}}⋅\\overline{a}_{\\mathrm{p}}⋅j_{\\mathrm{p}}__{\\\n",
       "──────────────────────────────────────────────────────────────────────────────\n",
       "                                       F                                      \n",
       "\n",
       "          ⎞                                                                   \n",
       "──────────⎟                                                                   \n",
       "mathrm{0}}⎠                                                                   \n",
       "───────────, \\\\ \\textbf{Parameters and Variables}, I = \\text{Current function \n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "[A]}, \\overline{c}_{\\mathrm{s,n}} = \\text{X-averaged negative particle concent\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "_{\\mathrm{n}} = \\text{Negative particle diffusivity [m2.s-1]}, T_{\\mathrm{amb\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "-1]}, T_{\\mathrm{amb}} = \\text{Ambient temperature [K]}, c_{\\mathrm{n}}__{\\mat\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "hrm{max}} = \\text{Maximum concentration in negative electrode [mol.m-3]}, \\ove\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "rline{c}_{\\mathrm{s,p}} = \\text{X-averaged positive particle concentration [mo\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "p}} = \\text{Positive particle diffusivity [m2.s-1]}, c_{\\mathrm{p}}__{\\mathrm\n",
       "                                                                              \n",
       "\n",
       "                                                                              \n",
       "                                                                              \n",
       "                                                                              \n",
       "mathrm{p}}__{\\mathrm{max}} = \\text{Maximum concentration in positive electrode\n",
       "                                                                              \n",
       "\n",
       "           ⎤\n",
       "           ⎥\n",
       "           ⎥\n",
       " [mol.m-3]}⎥\n",
       "           ⎦"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.latexify(newline=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "latexify can also be used to get the equations in a file format like png, jpg, pdf or tex."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "model.latexify(\"spm_equations_.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "will create a png file titled `spm_equations.png` in the working directory."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_spme = pybamm.lithium_ion.SPMe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Jupyter notebook sometimes cannot render latex output that is too large. In that case we use `newline=False` and loop over the lines. When `newline=False` it returns a list, so it inherits all the properties of a list and you can also do something like this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/latex": [
       "$\\displaystyle \\large{\\underline{\\textbf{Single Particle Model with electrolyte Equations}}}$"
      ],
      "text/plain": [
       "\\large{\\underline{\\textbf{Single Particle Model with electrolyte Equations}}}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\\\ \\textbf{Discharge capacity [A.h]}$"
      ],
      "text/plain": [
       "\\\\ \\textbf{Discharge capacity [A.h]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\frac{d}{d t} Q_{Ah} = \\frac{I}{3600}$"
      ],
      "text/plain": [
       "d           I  \n",
       "──(Q_Ah) = ────\n",
       "dt         3600"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle Q_{Ah} = 0.0\\quad \\text{at}\\; t=0$"
      ],
      "text/plain": [
       "Q_{Ah} = 0.0\\quad \\text{at}\\; t=0"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\\\ \\textbf{Throughput capacity [A.h]}$"
      ],
      "text/plain": [
       "\\\\ \\textbf{Throughput capacity [A.h]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\frac{d}{d t} Qt_{Ah} = \\frac{\\left|{I}\\right|}{3600}$"
      ],
      "text/plain": [
       "d           │I│ \n",
       "──(Qt_Ah) = ────\n",
       "dt          3600"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle Qt_{Ah} = 0.0\\quad \\text{at}\\; t=0$"
      ],
      "text/plain": [
       "Qt_{Ah} = 0.0\\quad \\text{at}\\; t=0"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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QEGgINARWIxA3zPRFa7upWA3lYkNhy0vm/njjsr2TsghZq9AQaAg0BBoCtxwB3idMXzjeciz27j5fIfmrwIv/AyudsADQ0wIjAAAAAElFTkSuQmCC",
      "text/latex": [
       "$\\displaystyle \\\\ \\textbf{X-averaged negative particle concentration [mol.m-3]}$"
      ],
      "text/plain": [
       "\\\\ \\textbf{X-averaged negative particle concentration [mol.m-3]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\frac{\\partial}{\\partial t} \\overline{c}_{\\mathrm{s,n}} = \\nabla\\cdot \\left(D_{\\mathrm{n}} \\left(\\nabla \\overline{c}_{\\mathrm{s,n}}\\right)\\right)\\quad 0 < r < R_{\\mathrm{n}}^{\\mathrm{typ}}$"
      ],
      "text/plain": [
       "d                                                                             \n",
       "──(\\overline{c}_{\\mathrm{s,n}}) = \\nabla\\cdot \\left(D_{\\mathrm{n}} \\left(\\nabl\n",
       "dt                                                                            \n",
       "\n",
       "                                                                              \n",
       "a \\overline{c}_{\\mathrm{s,n}}\\right)\\right)\\quad 0 < r < R_{\\mathrm{n}}__{\\mat\n",
       "                                                                              \n",
       "\n",
       "         \n",
       "hrm{typ}}\n",
       "         "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\overline{c}_{\\mathrm{s,n}} = \\int c_{\\mathrm{n}}^{\\mathrm{init}}\\, dxn\\quad \\text{at}\\; t=0$"
      ],
      "text/plain": [
       "\\overline{c}_{\\mathrm{s,n}} = \\int c_{\\mathrm{n}}__{\\mathrm{init}}\\, dxn\\quad \n",
       "\\text{at}\\; t=0"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\nabla \\overline{c}_{\\mathrm{s,n}} = 0.0\\quad  \\text{at } r = 0$"
      ],
      "text/plain": [
       "\\nabla \\overline{c}_{\\mathrm{s,n}} = 0.0\\quad  \\text{at } r = 0"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVEAAAAxCAYAAABj9ZqsAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAPdUlEQVR4Ae2d7ZEUNxCGlysCwJABzsCYDCADDBGAM7CLf/yj7AzMRQAmA0MEYGdgZ2B8GeD36VWrNDOaj73dmZvd7a7S6qv11SO9avVo7m59/fp1ExQSmCqBV69e/STeb+X/OLVM8IUETlkCF6c8uBjbLBIAPK9mqTkqDQkcoQRuhSZ6hE8tuhwSCAmsRgKhia7mUURHQgIhgWOUQIDoMT616HNIICSwGgncXk1PoiOrlYBeIt1R517IfSv3p+JvVtvZ6FhIYGEJhCa6sMCPtLmXAs5f1fff5X450jFEt0MCs0ggNNFZxHo6lQo8v9NoPqUR/SD/n31HlzRbAPmRwreor5a2bztRPiSwhARCE11Cysfdxj8CuPdpCE/lv913OKqPK1KNe6a1tH3bifIhgSUkECC6hJSPuI0Ebhv5TzQMbKOHsod+qYilllZhi6SQwG4S0Pz9bbcS07njOD9dVufO+VICeA+oyt3Bd4EozFdM9+T+lXso97PS7NgvHxvq33IA8EZxbKtBIYGlJfBorgZDE51LsidUr4APAMQ26rs5gGqUQJLPQAFOABJt0o7qiv+p8Cf5b1IefLzlDwoJLCYBzTk2+btzNRia6FySPa167zMcTcYPcoTRLIkDrvYtPfFEaJ5flAfofiff7alk8zLpZ7lDmQSoMygk0CsBzT80UE5HnJ78ZslrhTlRkUcac/oHxZnfzGk2f05SbrdHeYAHXvI5deGjOFzFZ5+SRNC4BDRZAMA/4FTYQFA+k/AP+faGnTwnpaFxMukAzZJ4UeWT9b+yrMJMzEZaWTDCIYHrSEDzig39o/xv2uVTHnef8xxW+Dc5B9CNwpQHWDlJuZkK5eGZ4g9ME1UAzcK0Dfm7Uq5414LBfzwS0BzhelObfEI1bKSJ6bN80kPrbEst4ntJQHMKAHssxyYOfZC7kmMTdgIIy1OQpzd88fyV3Av5mJ2oA8BsE5qrzXcyFP5V7he5RwaiSkNjQGWFye1eCg4SX6/cVSVoFqN/T088GekHa43Mo5FAevZMYGykpnEqjUnIhGSSoXHa5GRQCuc84kHzSkDyZpG3TwLzNrpA7RoTtnfmF7jDHANQMyluJif5vAitbf6ZNwVeywcD2fBt7qb0Me9KDPfzcV6NuTb6jcJkDpJ4AFseUkbnwQKRebIS0BxgAkL/8qN4fgNfy1MaYEoZjvzs/j/W0pQXdE0JSJ4ACTa7fCy9ZlWrLKZx+RGbMeb55p1VGqYnNFWUPeabHeeVTvip/MYJSfH/lP5c7qHCjY1H8ao5QOmA+GPXRBU2TQK7V9YqSKyRCtvRX34AaE1AZ5amedCYdOXwa3lKY5NmcecFXksr64nwzhLgXu8pU3mUr43zbpEITgGeENiFqalNaKOXcg/aGSmOaSqbrRTGpIAW/OHCCyiC/YDGfoLZ03t8Fk3vwukpE8khgZDAAhLQ+kVz8tPBAi3eSBPPaFVj/avdeho/MgDkMDeyaXP85/TMy6BOGaWjmX6GX34focE+kbMbKfLNjFBqohQEGNFGeQBZS1A4kwqC5BhZ6ViVlEd5O9rJh4/O1TpeLR+JIYGQQF0CWkeYQFzJ4aoNZFd2CCgfDdQARv4jxVnP0FuFp7xoAXwoz/W0x3Ksd3CBdfy34o1jsNJuigwk242n/jLmhj1U6YxhiL5X5tDGA+ZVx94AUTHRMEiMcbXP3klnqh1SGQSOLQI7hT0w+aA/xt2G8Vfx2Sm17Wr/1PZ4WzfFGD21vuALCRxEApqXACQL/YHCpjGlOf6RNBpRnHXHOuYdB5pYVRmCt4fQ1Fi/XF1j7QIe2KxpF1cFEq8rlZl1zamNXL/CaIUQGwr4w8ce3PkcVdrEw4ZkH4rIZ8Oo4pryIN+4trHitwGiKR2hA4QIrAEmaoRODmmhlOMBljveU6Vhb1ic1I9dJ9DifYwGQwJ7SgCtC6XnvtzQUXS0GeoQE+AL3ZWjTl7MQIDIIIDCJP4l1pwrZIC7byb0D5smY5gqB26WsCEBxGwYHVIe9b0kQ+HqbYcOiIqR3QsU5+zffjAAK2+wOiReOkGDDcBUeueCa6fwkSVoTDwwdv/e3akypMbuqDpGr4VV6oikFUtAz3TWa3yq37RMRKAwc48jqAMKyfsSdb5LlXBczoCo9nJ430YOUB5NFGUug6XCV0pjjbGuAL0hrVLZJkPKD44rtdFQJq1w8dMB0ZRHBxraqCpDqG6kLarIQTROAJjBnDSlMfa9xZs0dtUx64Kb1IlgOjoJaN4AdCgzaIpv5T7JHYRUtx2B5QNSkAPqNraeX7CoPO1az5JsCKPMLUZVEFVnatoo6N6nhfJgcQBvL6le1GbQnwnAMaHXUJ0EwlEFgbAT4OO4xzW4M4jHSHxoxz4hUuqoFzbRUREFw01IQPMZmyhHVjQujqIb+QDKKImvehTtKcj6GlKYeopZf2ZdcxqHr+ca1ngedtHFqAqiqXUAk8+f+HwKzZS/xlPVMkmXE4u9wcNvkPJ8cPcUtoux8gFEJkWVlG8GbWVio8GsYDuPfL5zxdTQ2YnaFYlnUFVv80c8JLByCaBU8HGCAWjqKwqJkdIBVD/mVtdqYh3zWK+j66tWyQJrzhWompb8MPXJ7bobZCI3+pKpNpapab0gSsNyPCwEeqnw2PEVozMDbBifVY6jB8cOyO+gsoug7RqgWs7wTzlp2GUA4KAbloCeH6cPni8U/8BuK4elf10T5VmwLhwwfO3u1B89U+rA1TS9neo6NHPqG2bDPsrgCYP4wa478jn97nWqpb4+yp991hjUOA8IbZQrD6OAJx5fUD4YHiw7p+2K8hkUWi0+xLWCEiC3qelXeTxMjvzZfqgwwkArHu1Po7KIHFwCegYsNJ4Hk/SL4r6AD95WVJiP7pjVPskhc9YHSgtpnOo4NeZ1oTDPBoI33yW1lJ4flWFtUo+/le/hXDZZ/XFsKRvumAPFhzmBF24obmjlptTJNyxRGqaQfKpVHLlcS+tWWaPbHqj5qhxtdBDoynLi7X0jpjwA+TP1UUa+/6m0MQ23bCLC65IAC45JaZvkurp2er2RnNmk/DhbDpB111l74q/xluU6YZVBqVkVgNJJ9aszvk7nt3xjJrxSaTvIqXYQRFPny0Zr/Z6axk7AAG2QEgoaan7ICqO1vpwgLPiCKhKQ7Nit/RSAZug7LmDHJtZ4Kaf83+XKZ4A2wyaHhnlXDlmzoBofXqgMfM/kAE+eGSeDvXZz1RMUEphdApqnzFmnMuxpO/sXO5fYs4AGgV30hRwLvtw1AFnSWaAb+SxgU+EVRkUnDe0VVZ2vKgCGoCSBJKO38jm+fJYD5DaKI0eM6xzzeCFHnHRAtS1DgJMj4KUcPJRB3vBmUjqACdByssDUEwCapROBc5PAqCZ6KIGkhda72JTPUYU/w+cgyi6RtST6oTwAwmwcxIMaEmAT4gUgG847+S47gBGtH7mW11YAUMDWSPkAJacO0uFzOT9XuGbrxAyDrS0oJHCsEjCFYt/OLwaiUzqqxcoCPpT5YEqTq+HR2LlDy1EaGUDIgY0E8odNHM2vBl7YjD7KAaIcv+37aueVj2ZqGr186KEc2qSR8g0o5dMHjPJGnu7xwge0/cVFkdwNqg4fG1otBHj72IgzPs9jfA7g5G1SefprG6x8+ooM+L67wau0oJBAQwKaI8yvfKpVnM9F/VTLH5b3m0iNclMjqwJRdZr7oOcKohyd/a912wu99kNMD543kvkNIzyKA2hoj2jyhAFHACe/qVUYcC5BlDhvJtv36Np8YqsSoAdwj5LaGB0blYiPmyAdSuXJ55M+xrnXy8hUT6edWoJ4882QWn6krV8CeoZs2H4ysw4rjc33IBvwqkA0DWz9T2WmHmr8bnvMmmDZFPKRA0CwWZamEUAT+zJ3bwEZ8mqbkWmwygco2Z2JsyO7FgoAc6+uVlZZW1I+Zb28Jw/6KuNjG6obkK9p2ZuifDnuwTb7MlVXAGOfcCJ9Zwlc7FwiCswpAcANGgIajtAAHeDnxFHF0lI6b8vbdszn4uGozNEaAASMMoAqDHn6Ntb/C9hyB++qn6WT42PLJoQOx/bPmFVBVLxTyleqjKSQwLwSuD1v9VH7jhLAHrmpAGBZjYNMvssn/tFjiXgAzVKLK8NWf2q3cewpGy7CHOXfFfEpQR9bY4NQmw1zguI+vnadftugUb7NFPGQwNISCBBdWuLD7aFtjYEE2iKENrgoCeDQIjlyA4ivd2ycsTW0YwBUaQCymxM6wF60AW+jfJF37aD6gBzR5AFv/hsDfeAqWGlPVlJQSKAugTjO1+WyeGoCFNodOu6SD+hAfRrbNneeX0AM0KmZC3pbLMaWN4gEXpcqlNP6KhAvAAyN8m7Zpv2mev2zZkwdACebBLcbfLOaVllwna0EQhNdz6OfChR2LFa3x8D24CMTsEx6G19p2I7iSufo7tei0Cy5XjJlMzj4mBNI0pf2lTH6w8u5Xey9KhJ0rhIIEF3Pk3eb4diR9Ym6zEudg2plM4vBN4jGd/YaQ3nlaqgLVn5ozMrjxdouwOcv49r2ZNoaMisM9TPyzlACAaLreegs3kFgFEj4G3nTCAEOlUGb4ojNCyF8XOMbecVvmsyeWYJc6vtUbXrQHprkgux2AVH+pFpD3qlPyG9qv25artH+CiQQILqCh6DFC0hAvYs3LXC0J+6CmvYkH42U+6H80ZFr/eFqlZuV1D82B6gNWADeqMZXlH9rtdR/+Etj3KGdtKkkPnjb8gZYN8rPfZ1aZ71bkXoOErg4h0EewRirQNPqNxontjq3D7ayGyD1RZloVGsg7+8QCA7108tnYCuZJQ/uvRoYKgwws6kwdttUlMbLIsKYQdrUtsfSlplT4Jej3K51ttuI+IlLIEB0HQ/Y70B27KFaxI/k0DQHP3dMi91Hw8JfC9kGof51xjaxgwZ+tfJKQzPH1e6slqDb2FSSrMjPG43SaIcTwWc5CO22DbK9dW6LxO85SiCO8zf41LVI0S45VtpxPsW9R6RDLOTagrbMNf5oHPT9Uq42tvbb8M4QivKmUcLQkg3pbgJ5r7yrdiWttE6++LEh81ev0GTvyaEpo4lyvYm0zkuvCXWqWNC5SSBA9AafuBbllK+DrtNDwOvGKIHNtce2b/kpAx9o49r9ntJu8JyeBC5Ob0jnMyIBAWDJcXajsGlO8nmD/73cM4Xd1grLOdMcm8ocdZ7zMzrasQ/+o7qjHVV0/CwloE0DYMOMgH2Tt/X+dyPZaDCLYEoo7ZpKGqY56hxuMXKPTQL/A3yY1PEhc25PAAAAAElFTkSuQmCC",
      "text/latex": [
       "$\\displaystyle \\nabla \\overline{c}_{\\mathrm{s,n}} = - \\frac{i_{\\mathrm{cell}}}{D_{\\mathrm{n}}^{surf} F L_{\\mathrm{n}} \\overline{a}_{\\mathrm{n}}}\\quad  \\text{at } r = R_{\\mathrm{n}}^{\\mathrm{typ}}$"
      ],
      "text/plain": [
       "\\nabla \\overline{c}_{\\mathrm{s,n}} = - \\frac{i_{\\mathrm{cell}}}{D_{\\mathrm{n}}\n",
       "_{\\mathrm{n}} \\overline{a}_{\\mathrm{n}}}\\quad  \\text{at } r = R_{\\mathrm{n}}__\n",
       "{surf} F L__{\\mathrm{typ}}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\\\ \\textbf{X-averaged positive particle concentration [mol.m-3]}$"
      ],
      "text/plain": [
       "\\\\ \\textbf{X-averaged positive particle concentration [mol.m-3]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\frac{\\partial}{\\partial t} \\overline{c}_{\\mathrm{s,p}} = \\nabla\\cdot \\left(D_{\\mathrm{p}} \\left(\\nabla \\overline{c}_{\\mathrm{s,p}}\\right)\\right)\\quad 0 < r < R_{\\mathrm{p}}^{\\mathrm{typ}}$"
      ],
      "text/plain": [
       "d                                                                             \n",
       "──(\\overline{c}_{\\mathrm{s,p}}) = \\nabla\\cdot \\left(D_{\\mathrm{p}} \\left(\\nabl\n",
       "dt                                                                            \n",
       "\n",
       "                                                                              \n",
       "a \\overline{c}_{\\mathrm{s,p}}\\right)\\right)\\quad 0 < r < R_{\\mathrm{p}}__{\\mat\n",
       "                                                                              \n",
       "\n",
       "         \n",
       "hrm{typ}}\n",
       "         "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\overline{c}_{\\mathrm{s,p}} = \\int c_{\\mathrm{p}}^{\\mathrm{init}}\\, dxn\\quad \\text{at}\\; t=0$"
      ],
      "text/plain": [
       "\\overline{c}_{\\mathrm{s,p}} = \\int c_{\\mathrm{p}}__{\\mathrm{init}}\\, dxn\\quad \n",
       "\\text{at}\\; t=0"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\nabla \\overline{c}_{\\mathrm{s,p}} = 0.0\\quad  \\text{at } r = 0$"
      ],
      "text/plain": [
       "\\nabla \\overline{c}_{\\mathrm{s,p}} = 0.0\\quad  \\text{at } r = 0"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\nabla \\overline{c}_{\\mathrm{s,p}} = \\frac{i_{\\mathrm{cell}}}{D_{\\mathrm{p}}^{surf} F L_{\\mathrm{p}} \\overline{a}_{\\mathrm{p}}}\\quad  \\text{at } r = R_{\\mathrm{p}}^{\\mathrm{typ}}$"
      ],
      "text/plain": [
       "\\nabla \\overline{c}_{\\mathrm{s,p}} = \\frac{i_{\\mathrm{cell}}}{D_{\\mathrm{p}}_{\n",
       "\\mathrm{p}} \\overline{a}_{\\mathrm{p}}}\\quad  \\text{at } r = R_{\\mathrm{p}}__{s\n",
       "urf} F L__{\\mathrm{typ}}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/latex": [
       "$\\displaystyle \\\\ \\textbf{Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3])}$"
      ],
      "text/plain": [
       "\\\\ \\textbf{Porosity times concentration [mol.m-3](Negative electrode porosity \n",
       "times concentration [mol.m-3], Separator porosity times concentration [mol.m-3\n",
       "], Positive electrode porosity times concentration [mol.m-3])}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/latex": [
       "$\\displaystyle \\frac{\\partial}{\\partial t} (\\epsilon c)_{\\mathrm{e}} = - \\nabla\\cdot \\left(- D_{\\mathrm{e}} \\mathcal{B} \\left(\\nabla c_{\\mathrm{e}}\\right) + \\frac{i_{\\mathrm{e}} t_{\\mathrm{+}}}{F}\\right) + \\frac{aj}{F}\\quad 0 < x < L_x$"
      ],
      "text/plain": [
       "d                                                                             \n",
       "──((\\epsilon c)_{\\mathrm{e}}) = - \\nabla\\cdot \\left(- D_{\\mathrm{e}} \\mathcal{\n",
       "dt                                                                            \n",
       "\n",
       "                                                                              \n",
       "B} \\left(\\nabla c_{\\mathrm{e}}\\right) + \\frac{i_{\\mathrm{e}} t_{\\mathrm{+}}}{F\n",
       "                                                                              \n",
       "\n",
       "                                        \n",
       "}\\right) + \\frac{aj}{F}\\quad 0 < x < L_x\n",
       "                                        "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle (\\epsilon c)_{\\mathrm{e}} = \\epsilon^{\\mathrm{init}} c_{\\mathrm{e}}^{\\mathrm{init}}\\quad \\text{at}\\; t=0$"
      ],
      "text/plain": [
       "(\\epsilon c)_{\\mathrm{e}} = \\epsilon_{\\mathrm{e}}__{\\mathrm{init}} c__{\\mathrm\n",
       "{init}}\\quad \\text{at}\\; t=0"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\\\ \\textbf{Voltage [V]}$"
      ],
      "text/plain": [
       "\\\\ \\textbf{Voltage [V]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/latex": [
       "$\\displaystyle V = - L_{\\mathrm{n}} i_{\\mathrm{cell}} \\left(- \\frac{1.0}{\\kappa_{\\mathrm{e}} \\int \\left(\\epsilon_{\\mathrm{s}}^{\\mathrm{init}}\\right)^{b_{\\mathrm{e,s}}}\\, dxn} + \\frac{0.333333333333333}{\\kappa_{\\mathrm{e}} \\int \\left(\\epsilon_{\\mathrm{n}}^{\\mathrm{init}}\\right)^{b_{\\mathrm{e,n}}}\\, dxn}\\right) - U_\\mathrm{n}(c^\\mathrm{surf}_\\mathrm{s,n}, T) + U_\\mathrm{p}(c^\\mathrm{surf}_\\mathrm{s,p}, T) - \\int \\frac{2.0 R T_{\\mathrm{amb}} \\operatorname{asinh}{\\left(\\frac{0.5 i_{\\mathrm{cell}}}{L_{\\mathrm{n}} \\overline{a}_{\\mathrm{n}} j_{\\mathrm{n}}^{\\mathrm{0}}} \\right)}}{F}\\, dxn + \\int \\left(- \\frac{2.0 R T_{\\mathrm{amb}} \\operatorname{asinh}{\\left(\\frac{0.5 i_{\\mathrm{cell}}}{L_{\\mathrm{p}} \\overline{a}_{\\mathrm{p}} j_{\\mathrm{p}}^{\\mathrm{0}}} \\right)}}{F}\\right)\\, dxn - \\int \\frac{0.5 i_{\\mathrm{cell}} \\left(- L_{x}^{2.0} + L_{\\mathrm{p}}^{2.0} + x_{p} \\left(2.0 L_{x} - x_{p}\\right)\\right)}{L_{\\mathrm{p}} \\kappa_{\\mathrm{e}} \\int \\left(\\epsilon_{\\mathrm{p}}^{\\mathrm{init}}\\right)^{b_{\\mathrm{e,p}}}\\, dxn}\\, dxn + \\int \\frac{R T_{\\mathrm{amb}} \\left(1+\\frac{dlnf}{dlnc}\\right) \\left(2.0 - 2.0 t_{\\mathrm{+}}\\right) \\log{\\left(\\max\\left(1.0 \\cdot 10^{-15}, \\frac{(\\epsilon c)_{\\mathrm{e,p}}}{\\epsilon_{\\mathrm{p}}^{\\mathrm{init}} \\int c_{\\mathrm{e}}\\, dxn}\\right) \\right)}}{F}\\, dxn + \\int \\frac{0.5 i_{\\mathrm{cell}} x_{n} \\left(- 2.0 L_{\\mathrm{n}} + x_{n}\\right)}{L_{\\mathrm{n}} \\sigma_{\\mathrm{n}} \\int \\left(1.0 - \\epsilon_{\\mathrm{n}}^{\\mathrm{init}}\\right)^{b_{\\mathrm{s,n}}}\\, dxn}\\, dxn + \\frac{i_{\\mathrm{cell}} \\left(L_{x} - 0.333333333333333 L_{\\mathrm{p}}\\right)}{\\sigma_{\\mathrm{p}} \\int \\left(1.0 - \\epsilon_{\\mathrm{p}}^{\\mathrm{init}}\\right)^{b_{\\mathrm{s,p}}}\\, dxn} - \\frac{i_{\\mathrm{cell}} \\left(x_{p} + \\frac{0.5 \\left(- L_{x} + x_{p}\\right)^{2.0}}{L_{\\mathrm{p}}}\\right)}{\\sigma_{\\mathrm{p}} \\int \\left(1.0 - \\epsilon_{\\mathrm{p}}^{\\mathrm{init}}\\right)^{b_{\\mathrm{s,p}}}\\, dxn} - \\frac{i_{\\mathrm{cell}} \\left(L_{\\mathrm{n}} + L_{\\mathrm{s}}\\right)}{\\kappa_{\\mathrm{e}} \\int \\left(\\epsilon_{\\mathrm{s}}^{\\mathrm{init}}\\right)^{b_{\\mathrm{e,s}}}\\, dxn} - \\frac{R T_{\\mathrm{amb}} \\left(1+\\frac{dlnf}{dlnc}\\right) \\left(2.0 - 2.0 t_{\\mathrm{+}}\\right) \\int \\log{\\left(\\max\\left(1.0 \\cdot 10^{-15}, \\frac{(\\epsilon c)_{\\mathrm{e,n}}}{\\epsilon_{\\mathrm{n}}^{\\mathrm{init}} \\int c_{\\mathrm{e}}\\, dxn}\\right) \\right)}\\, dxn}{F}^{\\mathtt{\\text{right}}}$"
      ],
      "text/plain": [
       "V = - L_{\\mathrm{n}} i_{\\mathrm{cell}} \\left(- \\frac{1.0}{\\kappa_{\\mathrm{e}} \n",
       "\\int \\left(\\epsilon_{\\mathrm{s}}_{\\mathrm{e,s}}}\\, dxn} + \\frac{0.333333333333\n",
       "333}{\\kappa_{\\mathrm{e}} \\int \\left(\\epsilon_{\\mathrm{n}}_{\\mathrm{e,n}}}\\, dx\n",
       "n}\\right) - U_\\mathrm{n}(c_\\mathrm{s,n}, T) + U_\\mathrm{p}(c_\\mathrm{s,p}, T) \n",
       "- \\int \\frac{2.0 R T_{\\mathrm{amb}} \\operatorname{asinh}{\\left(\\frac{0.5 i_{\\m\n",
       "athrm{cell}}}{L_{\\mathrm{n}} \\overline{a}_{\\mathrm{n}} j_{\\mathrm{n}}_{\\mathrm\n",
       "{amb}} \\operatorname{asinh}{\\left(\\frac{0.5 i_{\\mathrm{cell}}}{L_{\\mathrm{p}} \n",
       "\\overline{a}_{\\mathrm{p}} j_{\\mathrm{p}}_{\\mathrm{cell}} \\left(- L_{x}_{\\mathr\n",
       "m{p}}_{p} \\left(2.0 L_{x} - x_{p}\\right)\\right)}{L_{\\mathrm{p}} \\kappa_{\\mathr\n",
       "m{e}} \\int \\left(\\epsilon_{\\mathrm{p}}_{\\mathrm{e,p}}}\\, dxn}\\, dxn + \\int \\fr\n",
       "ac{R T_{\\mathrm{amb}} \\left(1+\\frac{dlnf}{dlnc}\\right) \\left(2.0 - 2.0 t_{\\mat\n",
       "hrm{+}}\\right) \\log{\\left(\\max\\left(1.0 \\cdot 10_{\\mathrm{e,p}}}{\\epsilon_{\\ma\n",
       "thrm{p}}_{\\mathrm{e}}\\, dxn}\\right) \\right)}}{F}\\, dxn + \\int \\frac{0.5 i_{\\ma\n",
       "thrm{cell}} x_{n} \\left(- 2.0 L_{\\mathrm{n}} + x_{n}\\right)}{L_{\\mathrm{n}} \\s\n",
       "igma_{\\mathrm{n}} \\int \\left(1.0 - \\epsilon_{\\mathrm{n}}_{\\mathrm{s,n}}}\\, dxn\n",
       "}\\, dxn + \\frac{i_{\\mathrm{cell}} \\left(L_{x} - 0.333333333333333 L_{\\mathrm{p\n",
       "}}\\right)}{\\sigma_{\\mathrm{p}} \\int \\left(1.0 - \\epsilon_{\\mathrm{p}}_{\\mathrm\n",
       "{s,p}}}\\, dxn} - \\frac{i_{\\mathrm{cell}} \\left(x_{p} + \\frac{0.5 \\left(- L_{x}\n",
       " + x_{p}\\right)_{\\mathrm{p}}}\\right)}{\\sigma_{\\mathrm{p}} \\int \\left(1.0 - \\ep\n",
       "silon_{\\mathrm{p}}_{\\mathrm{s,p}}}\\, dxn} - \\frac{i_{\\mathrm{cell}} \\left(L_{\\\n",
       "mathrm{n}} + L_{\\mathrm{s}}\\right)}{\\kappa_{\\mathrm{e}} \\int \\left(\\epsilon_{\\\n",
       "mathrm{s}}_{\\mathrm{e,s}}}\\, dxn} - \\frac{R T_{\\mathrm{amb}} \\left(1+\\frac{dln\n",
       "f}{dlnc}\\right) \\left(2.0 - 2.0 t_{\\mathrm{+}}\\right) \\int \\log{\\left(\\max\\lef\n",
       "t(1.0 \\cdot 10_{\\mathrm{e,n}}}{\\epsilon_{\\mathrm{n}}_{\\mathrm{e}}\\, dxn}\\right\n",
       ") \\right)}\\, dxn}{F}__{\\mathrm{init}}\\right)__{b__{\\mathrm{init}}\\right)__{b__\n",
       "\\mathrm{surf}__\\mathrm{surf}__{\\mathrm{0}}} \\right)}}{F}\\, dxn + \\int \\left(- \n",
       "\\frac{2.0 R T__{\\mathrm{0}}} \\right)}}{F}\\right)\\, dxn - \\int \\frac{0.5 i__{2.\n",
       "0} + L__{2.0} + x__{\\mathrm{init}}\\right)__{b__{-15}, \\frac{(\\epsilon c)__{\\ma\n",
       "thrm{init}} \\int c__{\\mathrm{init}}\\right)__{b__{\\mathrm{init}}\\right)__{b__{2\n",
       ".0}}{L__{\\mathrm{init}}\\right)__{b__{\\mathrm{init}}\\right)__{b__{-15}, \\frac{(\n",
       "\\epsilon c)__{\\mathrm{init}} \\int c__{\\mathtt{\\text{right}}}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\\\ \\textbf{Parameters and Variables}$"
      ],
      "text/plain": [
       "\\\\ \\textbf{Parameters and Variables}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle I = \\text{Current function [A]}$"
      ],
      "text/plain": [
       "I = \\text{Current function [A]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\overline{c}_{\\mathrm{s,n}} = \\text{X-averaged negative particle concentration [mol.m-3]}$"
      ],
      "text/plain": [
       "\\overline{c}_{\\mathrm{s,n}} = \\text{X-averaged negative particle concentration\n",
       " [mol.m-3]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAAVCAYAAABYOakyAAAACXBIWXMAAA7EAAAOxAGVKw4bAAANDElEQVR4Ae2d7XUdNRCGNz4uIDgVEDpIQgWEDgBXkNABnPzLPx/oAFKBAx0AFThJB4QKYtxBeB9ZI7RaSau9d/dmbe+cI+trNJoZjWYk7Q3c+/jxY7fBpoFNA5sGNg0MNfDy5csf1Pq97/lW9XdDrNvXksp9bwsUt2+RN4k2DWwamEcDcpg/idIfyv+ch+LNomLyH6ds+0jytdqf+j4UdOXL931O/Ufhvvf1VWbi75EYe6H0UInye7V9obwHavtDDU+UkA+Z/lSbnSJUXReIN+R5q8Qa/Lou7q65EV/o+5USvKLPb697btdfyWUnzhNJxolzMYdSm0t9VZvw/T+KR/buB78KlG0/YPt/C+9n3zdLNsZXyyRz0GiZ59A40ZowNf7nUok9fbBbi+Zin/6m9Fhl7CELR2mrkH9WIlAA7ygrsQFIlOnDsWJU34C0VhB/8I+DeqaE8h+qjlJ6oDZk+lwJ/C+UVhEkxAenmRzgFNjYj3Oda2gT7+gS/hY/TFT0tLgqNDeOFfthPRaFkbmKNqFxOAMOFj+pjCOC5wdKvyjdp005gY5D1dxQ5GvCRFUa4r+0TyZMcVhU8YxMvyj/3if2Cj7qrep2SF+EKdFnzX9TYv3tMFed6yjXKwIYFnB+nfX/qp9TLIlJbgIQKVHK70rfiP9BgFMbOG+UVgHixzbHgB/1cWr9TPkqAtqAwX4Dp6TFoKanxSZNCIuHxYOhTVmaS+01myAAvE7Gnnma7uCkPg6Cn9k8c+UjfDVNU6OhvuI+aSL+6ZAIbr39K1nsxjc4zM7Jpua5UmK9mT/r49P5soFCSBbRatdohCEyPU+JrrjOzYKA8Ep8L34C3FMPg2AW0xP/yLGBAv+mhGsNVGwCZ/p3QU+LBnLmrPBVYGnYXKFxU9cfH8urTOqH8Ln4VdZsNVAKFFylOzHLVagEdoqyN84S3mraJQ/OlacoFmfRqG1C77LgGsON7sZdp03mQ+Wbng6l6XXOc8PXn4DAN9PSgS8NIJ90EY4LsxPtarcJhpkgq4p8BXlCsxaGD6s8mz1XThr9GCwcZORayKmMt10ifnptRGe0EUDB5zsOOsIY+NWEC6jKuYGZ7qAFnKn9ioJyTkinlAVPVbeAdq7y70rQpo08fCRWO3SZnyADLWi6D5PKwYcuvPFGzRNcpxwaVbnAK8E+41vGCgc9ETCdbjwfF2pHD2N6Yj0Yi4xnSsj+pRLtXLvdQSeaw07crBPvt0X7V58FcfsoXMPdV8ejc4kf5sjZhNkk/byFI78BugW4XaOLCyXksDfrnG05XQo/fPBWGXtjHtbIaJ6qnY+jJb6abVU0OazmZCutP3zAU/M+EG4zeHlNR681kPWBF4ADNnud77zoBB4A2vk+FOxEZQ6sOXBj1F87pHfqBy+r9xzRfduOUwKeAZpxdDV44jvdhqshtvRpXr4hIPgUsI/VU8agZDYNc/ExiQ1RlEF9LMhfShi+OZcfVOajEx+gOuXgoC++G2CotP2rzDnlqA2DwrBiWsjt6CtnHE4cR4jjgrc0IMED4/k4GUB1991IOfPyHh1vZhxj4JdBqo/KFYhnCvuMbxkrHJwMMj5T2QIba4YTJ/iO6YlNiZ7QB84fvaFrfqUEnV/Vhw5wQvxII9iAymz2R0pBh8LpVMcR/qMUePLt5sypBoCGKlXbCchJYcpcwi3ZBDrAhtAjOYcCB56+2WhwYOpEZ9ieOf1OdXSFUwQ/gNrAwQG6FwjrUN3ZrPISX5NsVXRz9j62/siAfwhrqPJgHxjPrblo4MBNRycqBztRH3pkn+EDsFE3t69jZ9VvQMLDXrD7sE4qD0B4Vb0PBszQcJShYc46Np4MmouStI8FlNzYQZuEx3nzi6MpqRSVB/QzDTaWBawB/b0PgeIRA8BA7CTBx8L0Gon+3IILr6ZL6EMLA5kClwVkd1uK+zxtnGQMLXLF+Gl5n/EtY8GxgGBzm/NiI7YCenoqHRB8cVwEc7tFMoe1x/RYNxwgGzeGHE/0p7q1MS1yGm6aT52L8SWbSGmP1UPQNETpIqdzDotP1GfrYuipPkp8tdoqdEs0bM40hwd+uBJ48+vJ7XIOQEfOroyY6L/zZQJSvOffqJ1XiNSebKjlZo8huFlHkrfqPRm2ezUXKFq+TzAjTvIqUcjunBx4pF9Uc/icMgfgFxYH3ju9e0SMIr7KD8anDaKHU8JR4QAxHIJy7zSWjtmh7jaCaMc/MiAIm3PsVLaTy05y7TO+Zaxw2NzwGG+2Tu1BfxP0goOzDQwN6uSmg4uUlvoM/9T61AZPrNe5tUX5ZVR2xYj+ZB1PnSud+1B18cn6IPu/KnML46bNT9DHHJ2xOGqrhrhDbvYe7wOexNztdAd6uSEEgByY/eT6sm3ii8CGX7ADbBaPRuHsq/ci7VLHcaaDzdDboCmOGDXlV69I6bi11SUHT0MEPE6POQMiSABcNU3m65brU6QZCovMRsH5O0ekOo5o8CQBjm8/UY7TGTgqte0MzK+ELKyNbZaUXqtc6Tir7zO+ZazhfLAJ98wHjlz0bA5br9wUrKGB4Vt9LDf8MdvJ0bGxub61tfH8+kLJ7SPl7CWeqtzzU43ZRlutkSj2edrYP7zxzYB9N5c9Fef1HZPmEW/4lhPlUw6NRb2LDoeT2HZhi6fHKfQZE6AXKETIiBefk4Rjjo6JnSPybVybMHAiIjnpS/WNRkjhdcLD2RKkpsBO3yiSCeAPxSJzGiDtCk4QyAUSI0XAQBevhMcYZHcbRnkA9bGZXimFq6naTOcBL1cQHvRaA7MFLmg/UaIeQ6tc8Zi4vM/40bGSExsDJv+irqCnXDAwPmyu6xn7fw2H1rjcx8rXDH/MdnKjbWyubzVt0jV2funt0tmmyjg9vv2RWk7WY7Y6SV7NGe8TDmrP1ca+g9fSwWnSHHMie954bg9+UmV47ZRn7cD3F/WuodBK7Tq3B5imCY4SLHPUqcOM0QgIXJFCdFIZJjhBICBXT54IuH5SZpFGQXhLfqNIlRb40bwYM0bueA8dKvg+ZDuN262sftMXOR9ZCQDcUshzRonu+N4R6/ckohd/q9h5YT19jOyFEifansGpjswtchlrvXyf8S1jhQNv8EiQG4D6Y5vaSU8RH8GObSL12bqyXg4ingb4Qghr6NG7iP6Y7diQkE+dKwxcsCCenPNKpuAg0rtpCw+751CVXbtkfCd89kLRVlP8TL24/qINXeizDx6oXsTN0F28SfygPw7TLshGE2Lfl1E9LVb1jtxKHKLj1PMBKcGxehoonFEzQTpQbU+V+CUBTLhf+6Q4vh47QYTNGVhh6GLN8FA8nUoegtpAZs/NV8qR3ZyHa1ad04opHwPkJOMcvXIC5H2HOP6HRQfAj3WFHsc2W20O+MPgSrfDFrk0vAj7jG8Zy6kIPaaOCLnitRrTEzoq6Qk+vmPdlMfAHDxXxLZMPzzx8bZnC2oDH4jXj3qLnODlYOpcRiMna00HOXxsJpUFma+UHthEPn8hfaQ0qKe6S3FiMmO2arg5GmPrz42F9T03IjPlJzvQCWOkM/TLQYTnaruBuVxtHJqvoK+c/o9KvHrE0Kr3eEyubOsZeMshuf96rJhwDAvBNkD8zGKLg1PEGZpz7NFTO4LzLw3vWYeny+/eWz9u2dBZcs2LgWCEJhcO5kztsXxuLrXBP7eBwduq9TnE//8tBYsadKFy7l2QfvCc/Mrhh9PNhRJ9zMkJjDacesBVuRO+nWjBhW++PxgNk4mNws81nWExzkBtvZ/EWrvl6ncy+zqHAIymJ5fh5vLaePXl+ES/Tme1sTaXcLA9c8LwBwx+pSS8nJ7QD2uJXtENejoXbm/tIz5Mf+gEHaSOTs3XG1cZPIH/QQkAl/VHNk5xOHkHEX3qk3SssSZ/dS7h5XT9TPNx0Eh1QDvBl0Mh4xzPyrGvEIBVxsEC8Mz8r5X4aTDwRv38pBgdc8MyPdCHDfHcxtN0li+1Q68HasvaagsN4QzWPyaufvjJ3QRjtGxZ41hrJw8IqptMsV2dqQu7QdfoBPmQn5cF8z+ma+yXfYBeGZMDbOixdXhc6EG/U17Vu42r5aJhOoPWfSXWHltA1vAaorKTf7b/zLgIIvSqAoX4OQhIdk5gOBfnhJSj+BMljANF9wKA6htsGtg0cAANaC+yB91z+C7TaXwvUOxC4yaPMfmPFxYCh3mrQYokInfKw0lVZU4UJJ7pCBicMD/JrUrzbrBp4M5oQPuNwMDTjTt9q3yqcvoN4M7oYy5Bj+YgpIUgIBB5O5XdlVU511uuviyUc6b030J4I5k4sWCgOcBg7Rqf69/aNg1sGphPAzypfQc5vycv5iN9dynN9vR0d1XoDJJAyXcGwN5reaulnWen8PYLwgabBjYNLKMB7TU7tLpvK6qH9/ZdZtT47elJ3y22QLGL9WxjNg1sGrgTGvCBgg/XAB+n78ShT3L2/s+N/wH+HeJfSageoQAAAABJRU5ErkJggg==",
      "text/latex": [
       "$\\displaystyle D_{\\mathrm{n}} = \\text{Negative particle diffusivity [m2.s-1]}$"
      ],
      "text/plain": [
       "D_{\\mathrm{n}} = \\text{Negative particle diffusivity [m2.s-1]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle T_{\\mathrm{amb}} = \\text{Ambient temperature [K]}$"
      ],
      "text/plain": [
       "T_{\\mathrm{amb}} = \\text{Ambient temperature [K]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle c_{\\mathrm{n}}^{\\mathrm{max}} = \\text{Maximum concentration in negative electrode [mol.m-3]}$"
      ],
      "text/plain": [
       "c_{\\mathrm{n}}__{\\mathrm{max}} = \\text{Maximum concentration in negative elect\n",
       "rode [mol.m-3]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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PK45ckgHuTkFyOTUhmUnfW8Z3iTsVfqTMm82O1HFN7Wu1gOZNe82xpQdsu9WSiW4R4732BTqpJJngI7NbW+rYyJoFmgWaBZoFmgV2bgHtUyQTPLQA/FtB1/IAdSn+OP7KRryp4GGP7+ser5lM8Joj/FsJKv2NBc7hp3v+RYKaDZoFmgWaBZoFmgWaBU7JAv8D3DpecfnLRiwAAAAASUVORK5CYII=",
      "text/latex": [
       "$\\displaystyle \\overline{c}_{\\mathrm{s,p}} = \\text{X-averaged positive particle concentration [mol.m-3]}$"
      ],
      "text/plain": [
       "\\overline{c}_{\\mathrm{s,p}} = \\text{X-averaged positive particle concentration\n",
       " [mol.m-3]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle D_{\\mathrm{p}} = \\text{Positive particle diffusivity [m2.s-1]}$"
      ],
      "text/plain": [
       "D_{\\mathrm{p}} = \\text{Positive particle diffusivity [m2.s-1]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/latex": [
       "$\\displaystyle c_{\\mathrm{p}}^{\\mathrm{max}} = \\text{Maximum concentration in positive electrode [mol.m-3]}$"
      ],
      "text/plain": [
       "c_{\\mathrm{p}}__{\\mathrm{max}} = \\text{Maximum concentration in positive elect\n",
       "rode [mol.m-3]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle F = \\text{Faraday constant [C.mol-1]}$"
      ],
      "text/plain": [
       "F = \\text{Faraday constant [C.mol-1]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle L_{\\mathrm{p}} = \\text{Positive electrode thickness [m]}$"
      ],
      "text/plain": [
       "L_{\\mathrm{p}} = \\text{Positive electrode thickness [m]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle L_{\\mathrm{s}} = \\text{Separator thickness [m]}$"
      ],
      "text/plain": [
       "L_{\\mathrm{s}} = \\text{Separator thickness [m]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle L_{\\mathrm{n}} = \\text{Negative electrode thickness [m]}$"
      ],
      "text/plain": [
       "L_{\\mathrm{n}} = \\text{Negative electrode thickness [m]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAOoAAAAVCAYAAABIUHKCAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAH9UlEQVR4Ae2c6XFURxDHVyoFIOQMcAYCIjBkwBGBTQZQ+iR9U0EGWBFIKAPhCDgyMI7A8mYg/3+z06/mem/fqV2W11XDvOnp6e7pY66VvXd3d7eYYbbAbIH+Fjg7O3uj0a89hxdqf+vPbTUy5bk3J+pQk87jf3YLKKneyQY3qj+NbQvjfZAy9pn8RPjnvo/V4bsKivzpcVtZSb9jKXaiQn3klUyN91B4CvCWOflxF2qD/6T2Czp3DTQvW/mxDSt/apteU07sd6W27S69+Nkg8cEfX1Wcnwzfpp5Kpzayp6ApJep7BGminIm/q340heApeEpXFhUC8KnqG5VrfWdJJ9yh+j6q/KqyUJtxj1QTFJOCZLxTeTupkBrmkvte5Vrdf9eQ9EKLp9kPvrZA9uKVDCJR8VXnGOyjk8ZszDfJvLPmfoYRQgqzIwE49UcETgC1oPkt1UkCEwgh3IaNsb8l1wJvbNat+UmHRtu0ZlQmHJW3dGXHf6B6yA7dSqdt8E3ZpCtsMVHVxY4EsCvtJMgxJOukiVkwnF0nCl0zqmQB76dS19i4rfZNXaK+wgoy0ih3mLEt2pef5vOUEoy/t4VIcjml8Ogww4QWkJ05tXSCH8E32R3Vz5Cg4t6xaxDNSw5qdbT3zudeyR3sF5VD4aLjmNrcpUhEdmqDz8hQYbV2i59qFgvux8Cl72fxYCxBdq7CcY0HPfDcud3xTbXJsDsmd+yPwtcuqOqzxeFf0QJNtMhvnKfjsOYfyYSP7VDMAzu4t49wqKcryvN92Ale2QOf+rENPsA20LDoYh/eVXj4dO8Pajvw/DKdhG/0jY3vUosncXahgl5XKvjAZD/TN/rxXsAcoAXAc0cu+ufAkQT/+MFgigMC0kGfkvNBDFC0C3zTuOxxqIFBmBQYDaNgkNYgeYz5S4XHJkuYN/r+quIeOVTDm4eo3/Xtkl81cyOJCBxwJCwJRtClSY6t4f+fagIMOdiHV1r42Ms0gftMdE4PfS/0jdOPVaJEUJug/Uel0snTW+LSrAAeajTOsyJu/kAudrdHSfhiK+Yf6t0oz9MWH/jUx1gSk/vrUvVCNbbjdRg5DgfeQ5NOjb4xBl1qyU8f1yr/qA9fYw90JDbMTrTx7wOVDLJEFYUF8qTHQikYBWum2TiIaiWWPJKJ4O8KGI+fHMIgYzVk9XuugqOhsYQ0/gQHgAPaAndmgtzZRnUViMIjIwp2z5QdCccz1/AUVNKJIbYA+OFV1WaeFXHDx2PpYTG0QCcVyN2CE4xrKw+bpHAiBPYObUsCYAsWtXSTaatTKmdom5jBn9Xmom+zByelyk6i+6LCSY2kDv3odNh3/8b/YNCFiNPJVlTqsyCscNv+IZ0xWrabCE8CF0F9rNz0l362wZhPvC2gi+wlPElFolUJLpp1QOBVTtJYF4iqTY/PKQP1Gf0r6xMO/+DHS8MF9W3w7T4D/rXzTMc0tAm4ElQxM7K8kqwUt1andMCI7TrZ5rdWog4KVARFLRMZ+Q/1E5QuiArjtxkVGU1zIQnTlT7U35KYIxjzDoGdCX5GY3fAkKbPd5ZIgYwmm+M3A9PJ2utqo2+a5zoeXfqHysP2HPnZgcwmzD9biLsodc+0neIlSlRNmqAFSivxqmd1R6r+QkljMBDHGAzGFu+cIHy0wwgfgfoxtsmL+hoaXe+oESvJNKcaHvlR8lqHr203JCiukz7XFP7Q46PHixJtitPY0g/sqY4MMz1MVsoqpEm/S7QpzvjXzjMdMLA9VB4+IwYvZEN4EXPYsopLtQdBjW8G8RwyOEpUMbIzczHJpDyPG+ndlfsUCXqkwnf2IipcBuJ1H3fUTG6CeN3kXPWxMJA4HCuzRFUf9w+7Gz5OeLum+u0eS7uUhKVhEU48TA/8E+mBDp6YxdKBcEvGqAF99MikNn6KIODfOM9o0IDGCPKYc+Nrdw/1evmmh5xeQ/aTUe4J2Ts56hKOYwXlKuwQnmAnKNwqSTvs39B3087jVPLzcbv/Gh1/Uz8JaQkRjredwZ0kRBMdj72M8BrBAlhMaK8Detfpjh4vxZMTTAj4hMetdHFFJx5RIr2Fgx5I595mnquR9f9mi0A96aKLvNQmS/FlB+Xh5aEvKY2JbqvTOt8Yvy51W9khz+KYvdPTUyZov/kc+xHhqo1DK7yMQgBEgMGEIJjT1Tuim7rh9eBFEH0sEMO5oALzJVmo2Q35uQN6xllQ4zSe+m3xgRcvigA/sfBb6gfrB6lv+FkSQANkr7Sis50P3udqs/shlwWOhXKpgvxL4SPd1TY9oAFoo0eapK5TeNMJersTQcujEfKjq0TAX13ledKRgsaZ/UL9z0WHfsyL+bl5ibaKnyZ5Ac/QJ/zU5OaumjkgNwTmhD1YuDrrpDGZb0Lmdd8ah9+5Njg/dJXtxzNPdGYOxI2LN993M/g/cxMjBLCqufuBapxzq9oZVN8zzBYY1QKKLa5fJKRbyFQfqn2kQqCTNC5ZVd8LSH6UqGMKNd4HQ5iKCUmJkuwMGAljsRPZXVfNGWYLjGcBxZbbYVVXpw19sylQ+G2VGGTX3ujpTvJHhf2B3NieuWtgHP6qhaTdhjuq1JhhRy3wRfPiBMfGUALij18UdgqG7qiWlBx7R3sa3ykLz5MZ1QLsnir86eaJal6p7e7t/gZbbe6x4QPeqPI3xWzwHXVTis9yZwtsiwW0MHCS5CEN4E8DBy8U4hH93zj+B6Mcr8EXCfu4AAAAAElFTkSuQmCC",
      "text/latex": [
       "$\\displaystyle L_{z} = \\text{Electrode height [m]}$"
      ],
      "text/plain": [
       "L_z = \\text{Electrode height [m]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle L_{y} = \\text{Electrode width [m]}$"
      ],
      "text/plain": [
       "L_y = \\text{Electrode width [m]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/latex": [
       "$\\displaystyle n_{electrodes parallel} = \\text{Number of electrodes connected in parallel to make a cell}$"
      ],
      "text/plain": [
       "n_electrodes_parallel = \\text{Number of electrodes connected in parallel to ma\n",
       "ke a cell}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle t_{\\mathrm{+}} = \\text{Cation transference number}$"
      ],
      "text/plain": [
       "t_{\\mathrm{+}} = \\text{Cation transference number}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\epsilon_{\\mathrm{p}}^{\\mathrm{init}} = \\text{Positive electrode porosity}$"
      ],
      "text/plain": [
       "\\epsilon_{\\mathrm{p}}__{\\mathrm{init}} = \\text{Positive electrode porosity}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\epsilon_{\\mathrm{s}}^{\\mathrm{init}} = \\text{Separator porosity}$"
      ],
      "text/plain": [
       "\\epsilon_{\\mathrm{s}}__{\\mathrm{init}} = \\text{Separator porosity}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\epsilon_{\\mathrm{n}}^{\\mathrm{init}} = \\text{Negative electrode porosity}$"
      ],
      "text/plain": [
       "\\epsilon_{\\mathrm{n}}__{\\mathrm{init}} = \\text{Negative electrode porosity}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/latex": [
       "$\\displaystyle (\\epsilon c)_{\\mathrm{e,p}} = \\text{Positive electrode porosity times concentration [mol.m-3]}$"
      ],
      "text/plain": [
       "(\\epsilon c)_{\\mathrm{e,p}} = \\text{Positive electrode porosity times concentr\n",
       "ation [mol.m-3]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OmxM/G7ITvRVtHYsXtwSDj4damKk9Gyfv6u1jkZbmvW5HoCPQEegI3GIEtHdw82y30nv9Fu9UYI77NgdWbrUfDxyFY+ykFOYVQz81HaNxuk4dgY5AR6AjcPII/B9YGgOaaoCs7gAAAABJRU5ErkJggg==",
      "text/latex": [
       "$\\displaystyle (\\epsilon c)_{\\mathrm{e,s}} = \\text{Separator porosity times concentration [mol.m-3]}$"
      ],
      "text/plain": [
       "(\\epsilon c)_{\\mathrm{e,s}} = \\text{Separator porosity times concentration [mo\n",
       "l.m-3]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/latex": [
       "$\\displaystyle (\\epsilon c)_{\\mathrm{e,n}} = \\text{Negative electrode porosity times concentration [mol.m-3]}$"
      ],
      "text/plain": [
       "(\\epsilon c)_{\\mathrm{e,n}} = \\text{Negative electrode porosity times concentr\n",
       "ation [mol.m-3]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle D_{\\mathrm{e}} = \\text{Electrolyte diffusivity [m2.s-1]}$"
      ],
      "text/plain": [
       "D_{\\mathrm{e}} = \\text{Electrolyte diffusivity [m2.s-1]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/latex": [
       "$\\displaystyle b_{\\mathrm{e,p}} = \\text{Positive electrode Bruggeman coefficient (electrolyte)}$"
      ],
      "text/plain": [
       "b_{\\mathrm{e,p}} = \\text{Positive electrode Bruggeman coefficient (electrolyte\n",
       ")}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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A9EnelY6++1tdkAPrINqFgxrX3/Zf0tWlVL+8JuJ1Jd8ybPa2kIohCwvvCi9h3KBZoFmgWaBZYH8WUGzlRMphxW4C98e8caq2gOzPjWzng7t9LqRc4YZjbrVEDbFZoFmgWaBZoFnghlvgXz2gtRaeko6kAAAAAElFTkSuQmCC",
      "text/latex": [
       "$\\displaystyle b_{\\mathrm{e,s}} = \\text{Separator Bruggeman coefficient (electrolyte)}$"
      ],
      "text/plain": [
       "b_{\\mathrm{e,s}} = \\text{Separator Bruggeman coefficient (electrolyte)}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle b_{\\mathrm{e,n}} = \\text{Negative electrode Bruggeman coefficient (electrolyte)}$"
      ],
      "text/plain": [
       "b_{\\mathrm{e,n}} = \\text{Negative electrode Bruggeman coefficient (electrolyte\n",
       ")}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle R_{\\mathrm{p}} = \\text{Positive particle radius [m]}$"
      ],
      "text/plain": [
       "R_{\\mathrm{p}} = \\text{Positive particle radius [m]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\epsilon_{\\mathrm{s,p}} = \\text{Positive electrode active material volume fraction}$"
      ],
      "text/plain": [
       "\\epsilon_{\\mathrm{s,p}} = \\text{Positive electrode active material volume frac\n",
       "tion}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle R_{\\mathrm{n}} = \\text{Negative particle radius [m]}$"
      ],
      "text/plain": [
       "R_{\\mathrm{n}} = \\text{Negative particle radius [m]}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\epsilon_{\\mathrm{s,n}} = \\text{Negative electrode active material volume fraction}$"
      ],
      "text/plain": [
       "\\epsilon_{\\mathrm{s,n}} = \\text{Negative electrode active material volume frac\n",
       "tion}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle i_{\\mathrm{e}} = \\begin{cases}\\frac{i_{\\mathrm{cell}} x_{n}}{L_{\\mathrm{n}}}\\\\i_{\\mathrm{cell}}\\\\\\frac{i_{\\mathrm{cell}} \\left(L_{x} - x_{p}\\right)}{L_{\\mathrm{p}}}\\end{cases}$"
      ],
      "text/plain": [
       "i_{\\mathrm{e}} = \\begin{cases}\\frac{i_{\\mathrm{cell}} x_{n}}{L_{\\mathrm{n}}}\\\\\n",
       "i_{\\mathrm{cell}}\\\\\\frac{i_{\\mathrm{cell}} \\left(L_{x} - x_{p}\\right)}{L_{\\mat\n",
       "hrm{p}}}\\end{cases}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle L_{x} = L_{\\mathrm{n}} + L_{\\mathrm{p}} + L_{\\mathrm{s}}$"
      ],
      "text/plain": [
       "Lₓ = L_{\\mathrm{n}} + L_{\\mathrm{p}} + L_{\\mathrm{s}}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle i_{\\mathrm{cell}} = \\frac{I}{A_{\\mathrm{cc}} n_{electrodes parallel}}$"
      ],
      "text/plain": [
       "i_{\\mathrm{cell}} = \\frac{I}{A_{\\mathrm{cc}} n_{electrodes parallel}}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle A_{\\mathrm{cc}} = L_{y} L_{z}$"
      ],
      "text/plain": [
       "A_{\\mathrm{cc}} = L_{y} L_{z}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle c_{\\mathrm{e}} = \\frac{(\\epsilon c)_{\\mathrm{e}}}{\\begin{cases}\\epsilon_{\\mathrm{n}}^{\\mathrm{init}}\\\\\\epsilon_{\\mathrm{s}}^{\\mathrm{init}}\\\\\\epsilon_{\\mathrm{p}}^{\\mathrm{init}}\\end{cases}}$"
      ],
      "text/plain": [
       "c_{\\mathrm{e}} = \\frac{(\\epsilon c)_{\\mathrm{e}}}{\\begin{cases}\\epsilon_{\\math\n",
       "rm{n}}_{\\mathrm{s}}_{\\mathrm{p}}__{\\mathrm{init}}\\\\\\epsilon__{\\mathrm{init}}\\\\\n",
       "\\epsilon__{\\mathrm{init}}\\end{cases}}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle (\\epsilon c)_{\\mathrm{e}} = \\begin{cases}(\\epsilon c)_{\\mathrm{e,n}}\\\\(\\epsilon c)_{\\mathrm{e,s}}\\\\(\\epsilon c)_{\\mathrm{e,p}}\\end{cases}$"
      ],
      "text/plain": [
       "(\\epsilon c)_{\\mathrm{e}} = \\begin{cases}(\\epsilon c)_{\\mathrm{e,n}}\\\\(\\epsilo\n",
       "n c)_{\\mathrm{e,s}}\\\\(\\epsilon c)_{\\mathrm{e,p}}\\end{cases}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\mathcal{B} = \\begin{cases}\\left(\\epsilon_{\\mathrm{n}}^{\\mathrm{init}}\\right)^{b_{\\mathrm{e,n}}}\\\\\\left(\\epsilon_{\\mathrm{s}}^{\\mathrm{init}}\\right)^{b_{\\mathrm{e,s}}}\\\\\\left(\\epsilon_{\\mathrm{p}}^{\\mathrm{init}}\\right)^{b_{\\mathrm{e,p}}}\\end{cases}$"
      ],
      "text/plain": [
       "\\mathcal{B} = \\begin{cases}\\left(\\epsilon_{\\mathrm{n}}_{\\mathrm{e,n}}}\\\\\\left(\n",
       "\\epsilon_{\\mathrm{s}}_{\\mathrm{e,s}}}\\\\\\left(\\epsilon_{\\mathrm{p}}_{\\mathrm{e,\n",
       "p}}}\\end{cases}__{\\mathrm{init}}\\right)__{b__{\\mathrm{init}}\\right)__{b__{\\mat\n",
       "hrm{init}}\\right)__{b"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle aj = \\begin{cases}a_{\\mathrm{n}} j_{\\mathrm{n}}\\\\0.0\\\\a_{\\mathrm{p}} j_{\\mathrm{p}}\\end{cases}$"
      ],
      "text/plain": [
       "aj = \\begin{cases}a_{\\mathrm{n}} j_{\\mathrm{n}}\\\\0.0\\\\a_{\\mathrm{p}} j_{\\mathr\n",
       "m{p}}\\end{cases}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle j_{\\mathrm{p}} = - \\frac{i_{\\mathrm{cell}}}{L_{\\mathrm{p}} \\overline{a}_{\\mathrm{p}}}$"
      ],
      "text/plain": [
       "j_{\\mathrm{p}} = - \\frac{i_{\\mathrm{cell}}}{L_{\\mathrm{p}} \\overline{a}_{\\math\n",
       "rm{p}}}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\overline{a}_{\\mathrm{p}} = \\int a_{\\mathrm{p}}\\, dxn$"
      ],
      "text/plain": [
       "\\overline{a}_{\\mathrm{p}} = \\int a_{\\mathrm{p}}\\, dxn"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle a_{\\mathrm{p}} = \\frac{3.0 \\epsilon_{\\mathrm{s,p}}}{R_{\\mathrm{p}}}$"
      ],
      "text/plain": [
       "a_{\\mathrm{p}} = \\frac{3.0 \\epsilon_{\\mathrm{s,p}}}{R_{\\mathrm{p}}}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle j_{\\mathrm{n}} = \\frac{i_{\\mathrm{cell}}}{L_{\\mathrm{n}} \\overline{a}_{\\mathrm{n}}}$"
      ],
      "text/plain": [
       "j_{\\mathrm{n}} = \\frac{i_{\\mathrm{cell}}}{L_{\\mathrm{n}} \\overline{a}_{\\mathrm\n",
       "{n}}}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\overline{a}_{\\mathrm{n}} = \\int a_{\\mathrm{n}}\\, dxn$"
      ],
      "text/plain": [
       "\\overline{a}_{\\mathrm{n}} = \\int a_{\\mathrm{n}}\\, dxn"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle a_{\\mathrm{n}} = \\frac{3.0 \\epsilon_{\\mathrm{s,n}}}{R_{\\mathrm{n}}}$"
      ],
      "text/plain": [
       "a_{\\mathrm{n}} = \\frac{3.0 \\epsilon_{\\mathrm{s,n}}}{R_{\\mathrm{n}}}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "spme_latex = model_spme.latexify(newline=False)\n",
    "for line in spme_latex:\n",
    "    display(line)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "The relevant papers for this notebook are:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] Von DAG Bruggeman. Berechnung verschiedener physikalischer konstanten von heterogenen substanzen. i. dielektrizitätskonstanten und leitfähigkeiten der mischkörper aus isotropen substanzen. Annalen der physik, 416(7):636–664, 1935.\n",
      "[2] Charles R. Harris, K. Jarrod Millman, Stéfan J. van der Walt, Ralf Gommers, Pauli Virtanen, David Cournapeau, Eric Wieser, Julian Taylor, Sebastian Berg, Nathaniel J. Smith, and others. Array programming with NumPy. Nature, 585(7825):357–362, 2020. doi:10.1038/s41586-020-2649-2.\n",
      "[3] Scott G. Marquis, Valentin Sulzer, Robert Timms, Colin P. Please, and S. Jon Chapman. An asymptotic derivation of a single particle model with electrolyte. Journal of The Electrochemical Society, 166(15):A3693–A3706, 2019. doi:10.1149/2.0341915jes.\n",
      "[4] Valentin Sulzer, Scott G. Marquis, Robert Timms, Martin Robinson, and S. Jon Chapman. Python Battery Mathematical Modelling (PyBaMM). Journal of Open Research Software, 9(1):14, 2021. doi:10.5334/jors.309.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "pybamm.print_citations()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".env",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
